Question 26

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Jambmaths question: 

The angles of a polygon are given by x, 2x, 3x, 4x, and 5x respectively. Find the value of x

Option A: 

24o

Option B: 

30o

Option C: 

33o

Option D: 

36o

Jamb Maths Solution: 

The polygon is 5 – sided polygon. The total interior angle of a polygon is given as $(n-2){{180}^{\circ }}$So when n = 5The total interior angle is $(5-2){{180}^{\circ }}={{540}^{\circ }}$Therefore,$x+2x+3x+4x+5x={{540}^{\circ }}$$15x={{540}^{\circ }}$$x=\frac{{{540}^{\circ }}}{15}={{36}^{\circ }}$

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